In addition to the three basic trig functions we've already looked at (Sine, Cosine, Tangent), there are three other related functions. These are Secant, Cosecant, and Cotangent. These functions have similar meanings as the first three, in that they represent the ratios of various side lengths of a right angle triangle, and can be used to find angles or unknown side lengths. I will not go into extensive detail on these functions, as they are less commonly required, but I will show you what they mean.
So far, with the help of SOHCAHTOA, we have seen that:
Sine = opposite / hypotenuse
Cosine = adjacent / hypotenuse
Tangent = opposite / adjacent
These new functions are related to the originals because they represent the inverse ratios.
Cosecant = hypotenuse / opposite... (compare to Sine)
Secant = hypotenuse / adjacent....... (compare to Cosine)
Cotangent = adjacent / opposite...... (compare to Tangent)
Also, these functions can be abbreviated: Cosecant = Csc, Secant = Sec, Cotangent = Cot.
At the middle school and high school math level, you will rarely have a need to use these functions, but it is good for you to know what they are. However, most trig problems at this stage can easily be solved with the original three functions.
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4 comments:
very very helpful. THANKS!!! :D
Thank you so much!
Other than the SOHCAHTOA method, my teacher made us say "Oscar Has A Heap Of Apples, Sine, Cosine Tangent" Oscar Has refers to Opposite and Hypotenuse (sine) and so forth
A/Apples=adjacent Heap/Has=Hypotenuse Oscar/Of=Opposite
That's another great memory trick. I've never seen that one! Thanks for the post!
My teacher taught me "The Cat Sat On An Orange And Had Hat" it doesn't have any meaning but it helped me remember the rules all way through high school :D
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